Tobias Weich

Institut für Mathematik
Institut für Photonische Quantensysteme (PhoQS)
Spektral Analysis
tobias.weich@uni-paderborn.de
ID
49178

37 Publications

Mark all

[37]
2025 | Journal Article | LibreCat-ID: 32099 | OA
Weich T, Budde J. Wave Front Sets of Nilpotent Lie Group Representations. Journal of Functional Analysis. 2025;288(1). doi: https://doi.org/10.1016/j.jfa.2024.110684
LibreCat | Files available | DOI
 
[36]
2024 | Journal Article | LibreCat-ID: 52876
Arends C, Wolf LL, Meinecke J, Barkhofen S, Weich T, Bartley T. Decomposing large unitaries into multimode devices of arbitrary size. Physical Review Research. 2024;6(1). doi:10.1103/physrevresearch.6.l012043
LibreCat | DOI
 
[35]
2024 | Journal Article | LibreCat-ID: 51207
Weich T, Wolf LL. Temperedness of locally symmetric spaces: The product case. Geom Dedicata. 2024;218. doi:https://doi.org/10.1007/s10711-024-00904-4
LibreCat | DOI | arXiv
 
[34]
2024 | Preprint | LibreCat-ID: 51204
Lutsko C, Weich T, Wolf LL. Polyhedral bounds on the joint spectrum and temperedness of locally  symmetric spaces. arXiv:240202530. Published online 2024.
LibreCat | arXiv
 
[33]
2024 | Book | LibreCat-ID: 55193
Hoffmann M, Hilgert J, Weich T. Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik. Springer Berlin Heidelberg; 2024. doi:10.1007/978-3-662-67357-7
LibreCat | DOI
 
[32]
2024 | Journal Article | LibreCat-ID: 32101 | OA
Weich T, Guedes Bonthonneau Y, Guillarmou C, Hilgert J. Ruelle-Taylor resonances of Anosov actions. J Europ Math Soc. Published online 2024:1-36.
LibreCat | Files available
 
[31]
2024 | Journal Article | LibreCat-ID: 32097 | OA
Weich T, Guedes Bonthonneau Y, Guillarmou C. SRB Measures of Anosov Actions. Journal of Differential Geometry. 2024;128:959-1026. doi: DOI: 10.4310/jdg/1729092452
LibreCat | Files available | DOI | arXiv
 
[30]
2024 | Journal Article | LibreCat-ID: 58103
Bux K-U, Hilgert J, Weich T. Spectral correspondences for finite graphs without dead ends. Indagationes Mathematicae. 2024;36(1):188-217. doi:10.1016/j.indag.2024.05.001
LibreCat | DOI
 
[29]
2023 | Journal Article | LibreCat-ID: 31189
Weich T, Wolf LL. Absence of principal eigenvalues for higher rank locally symmetric  spaces. Communications in Mathematical Physics. 2023;403. doi:https://doi.org/10.1007/s00220-023-04819-1
LibreCat | DOI | arXiv
 
[28]
2023 | Journal Article | LibreCat-ID: 31059
Schütte P, Weich T, Barkhofen S. Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems. Communications in Mathematical Physics. 2023;398:655-678. doi:ttps://doi.org/10.1007/s00220-022-04538-z
LibreCat | DOI | arXiv
 
[27]
2023 | Preprint | LibreCat-ID: 51206
Schütte P, Weich T. Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions. arXiv:230813463. Published online 2023.
LibreCat | arXiv
 
[26]
2023 | Journal Article | LibreCat-ID: 31190
Hilgert J, Weich T, Wolf LL. Higher rank quantum-classical correspondence. Analysis & PDE. 2023;16(10):2241–2265.
LibreCat | arXiv
 
[25]
2023 | Journal Article | LibreCat-ID: 53410
Delarue B, Schütte P, Weich T. Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models. Annales Henri Poincaré. 2023;25(2):1607-1656. doi:10.1007/s00023-023-01379-x
LibreCat | DOI
 
[24]
2022 | Journal Article | LibreCat-ID: 31193
Kolb M, Weich T, Wolf LL. Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature. Annales Henri Poincaré. 2022;23(4):1283-1296. doi:10.1007/s00023-021-01121-5
LibreCat | DOI | arXiv
 
[23]
2022 | Journal Article | LibreCat-ID: 35306
Guedes Bonthonneau Y, Weich T. Ruelle–Pollicott resonances for manifolds with hyperbolic cusps. Journal of the European Mathematical Society. 2022;24(3):851-923. doi:10.4171/jems/1103
LibreCat | DOI
 
[22]
2022 | Journal Article | LibreCat-ID: 31057
Barkhofen S, Schütte P, Weich T. Semiclassical formulae For Wigner distributions. Journal of Physics A: Mathematical and Theoretical. 2022;55(24). doi:10.1088/1751-8121/ac6d2b
LibreCat | DOI | arXiv
 
[21]
2022 | Journal Article | LibreCat-ID: 35322
Bux K-U, Hilgert J, Weich T. Poisson transforms for trees of bounded degree. Journal of Spectral Theory. 2022;12(2):659-681. doi:10.4171/jst/414
LibreCat | DOI
 
[20]
2021 | Preprint | LibreCat-ID: 31058
Schütte P, Weich T, Delarue B. Resonances and weighted zeta functions for obstacle scattering via smooth models. Published online 2021.
LibreCat | arXiv
 
[19]
2021 | Journal Article | LibreCat-ID: 31263
Guillarmou C, Hilgert J, Weich T. High frequency limits for invariant Ruelle densities. Annales Henri Lebesgue. 2021;4:81-119. doi:10.5802/ahl.67
LibreCat | DOI | arXiv
 
[18]
2020 | Journal Article | LibreCat-ID: 31264
Küster B, Weich T. Pollicott-Ruelle Resonant States and Betti Numbers. Communications in Mathematical Physics. 2020;378(2):917-941. doi:10.1007/s00220-020-03793-2
LibreCat | DOI
 
[17]
2020 | Journal Article | LibreCat-ID: 53415
Küster B, Weich T. Pollicott-Ruelle Resonant States and Betti Numbers. Communications in Mathematical Physics. 2020;378(2):917-941. doi:10.1007/s00220-020-03793-2
LibreCat | DOI
 
[16]
2019 | Journal Article | LibreCat-ID: 31265
Dyatlov S, Borthwick D, Weich T. Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich. Journal of the European Mathematical Society. 2019;21(6):1595-1639. doi:10.4171/jems/867
LibreCat | DOI | arXiv
 
[15]
2019 | Preprint | LibreCat-ID: 31191
Kolb M, Weich T, Wolf LL. Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces. arXiv:190906183. Published online 2019.
LibreCat | arXiv
 
[14]
2019 | Journal Article | LibreCat-ID: 53416
Küster B, Weich T. Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. International Mathematics Research Notices. 2019;2021(11):8225-8296. doi:10.1093/imrn/rnz068
LibreCat | DOI
 
[13]
2017 | Journal Article | LibreCat-ID: 31268
Faure F, Weich T. Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps. Communications in Mathematical Physics. 2017;356(3):755-822. doi:10.1007/s00220-017-3000-0
LibreCat | DOI | arXiv
 
[12]
2017 | Journal Article | LibreCat-ID: 31272
Harris B, Weich T. Wave front sets of reductive Lie group representations III. Advances in Mathematics. 2017;313:176-236. doi:10.1016/j.aim.2017.03.025
LibreCat | DOI | arXiv
 
[11]
2017 | Journal Article | LibreCat-ID: 31267
Guillarmou C, Hilgert J, Weich T. Classical and quantum resonances for hyperbolic surfaces. Mathematische Annalen. 2017;370(3-4):1231-1275. doi:10.1007/s00208-017-1576-5
LibreCat | DOI | arXiv
 
[10]
2017 | Journal Article | LibreCat-ID: 31377 | OA
Weich T, Hoffmann M. Exkursinhalte in der fachmathematischen Lehramtsausbildung: Wie man das Wesen und die Rolle der Mathematik vermittelt. die hochschullehre. 2017;3.
LibreCat | Download (ext.)
 
[9]
2016 | Journal Article | LibreCat-ID: 31274
Borthwick D, Weich T. Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions. Journal of Spectral Theory. 2016;6(2):267-329. doi:10.4171/jst/125
LibreCat | DOI | arXiv
 
[8]
2016 | Journal Article | LibreCat-ID: 31289
Weich T. On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows. Annales Henri Poincaré. 2016;18(1):37-52. doi:10.1007/s00023-016-0514-5
LibreCat | DOI | arXiv
 
[7]
2015 | Journal Article | LibreCat-ID: 31291
ARNOLDI JF, FAURE F, Weich T. Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps. Ergodic Theory and Dynamical Systems. 2015;37(1):1-58. doi:10.1017/etds.2015.34
LibreCat | DOI | arXiv
 
[6]
2015 | Journal Article | LibreCat-ID: 31293
Weich T. Resonance Chains and Geometric Limits on Schottky Surfaces. Communications in Mathematical Physics. 2015;337(2):727-765. doi:10.1007/s00220-015-2359-z
LibreCat | DOI | arXiv
 
[5]
2014 | Journal Article | LibreCat-ID: 31294
Weich T. Equivariant spectral asymptotics forh-pseudodifferential operators. Journal of Mathematical Physics. 2014;55(10). doi:10.1063/1.4896698
LibreCat | DOI | arXiv
 
[4]
2014 | Journal Article | LibreCat-ID: 31296
Barkhofen S, Faure F, Weich T. Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum. Nonlinearity. 2014;27(8):1829-1858. doi:10.1088/0951-7715/27/8/1829
LibreCat | DOI | arXiv
 
[3]
2014 | Journal Article | LibreCat-ID: 31297
Weich T, Barkhofen S, Kuhl U, Poli C, Schomerus H. Formation and interaction of resonance chains in the open three-disk system. New Journal of Physics. 2014;16(3). doi:10.1088/1367-2630/16/3/033029
LibreCat | DOI | arXiv
 
[2]
2013 | Journal Article | LibreCat-ID: 31298
Barkhofen S, Weich T, Potzuweit A, Stöckmann H-J, Kuhl U, Zworski M. Experimental Observation of the Spectral Gap in Microwave n-Disk Systems. Physical Review Letters. 2013;110(16). doi:10.1103/physrevlett.110.164102
LibreCat | DOI | arXiv
 
[1]
2012 | Journal Article | LibreCat-ID: 31300
Potzuweit A, Weich T, Barkhofen S, Kuhl U, Stöckmann H-J, Zworski M. Weyl asymptotics: From closed to open systems. Physical Review E. 2012;86(6). doi:10.1103/physreve.86.066205
LibreCat | DOI | arXiv
 
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37 Publications

Mark all

[37]
2025 | Journal Article | LibreCat-ID: 32099 | OA
Weich T, Budde J. Wave Front Sets of Nilpotent Lie Group Representations. Journal of Functional Analysis. 2025;288(1). doi: https://doi.org/10.1016/j.jfa.2024.110684
LibreCat | Files available | DOI
 
[36]
2024 | Journal Article | LibreCat-ID: 52876
Arends C, Wolf LL, Meinecke J, Barkhofen S, Weich T, Bartley T. Decomposing large unitaries into multimode devices of arbitrary size. Physical Review Research. 2024;6(1). doi:10.1103/physrevresearch.6.l012043
LibreCat | DOI
 
[35]
2024 | Journal Article | LibreCat-ID: 51207
Weich T, Wolf LL. Temperedness of locally symmetric spaces: The product case. Geom Dedicata. 2024;218. doi:https://doi.org/10.1007/s10711-024-00904-4
LibreCat | DOI | arXiv
 
[34]
2024 | Preprint | LibreCat-ID: 51204
Lutsko C, Weich T, Wolf LL. Polyhedral bounds on the joint spectrum and temperedness of locally  symmetric spaces. arXiv:240202530. Published online 2024.
LibreCat | arXiv
 
[33]
2024 | Book | LibreCat-ID: 55193
Hoffmann M, Hilgert J, Weich T. Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik. Springer Berlin Heidelberg; 2024. doi:10.1007/978-3-662-67357-7
LibreCat | DOI
 
[32]
2024 | Journal Article | LibreCat-ID: 32101 | OA
Weich T, Guedes Bonthonneau Y, Guillarmou C, Hilgert J. Ruelle-Taylor resonances of Anosov actions. J Europ Math Soc. Published online 2024:1-36.
LibreCat | Files available
 
[31]
2024 | Journal Article | LibreCat-ID: 32097 | OA
Weich T, Guedes Bonthonneau Y, Guillarmou C. SRB Measures of Anosov Actions. Journal of Differential Geometry. 2024;128:959-1026. doi: DOI: 10.4310/jdg/1729092452
LibreCat | Files available | DOI | arXiv
 
[30]
2024 | Journal Article | LibreCat-ID: 58103
Bux K-U, Hilgert J, Weich T. Spectral correspondences for finite graphs without dead ends. Indagationes Mathematicae. 2024;36(1):188-217. doi:10.1016/j.indag.2024.05.001
LibreCat | DOI
 
[29]
2023 | Journal Article | LibreCat-ID: 31189
Weich T, Wolf LL. Absence of principal eigenvalues for higher rank locally symmetric  spaces. Communications in Mathematical Physics. 2023;403. doi:https://doi.org/10.1007/s00220-023-04819-1
LibreCat | DOI | arXiv
 
[28]
2023 | Journal Article | LibreCat-ID: 31059
Schütte P, Weich T, Barkhofen S. Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems. Communications in Mathematical Physics. 2023;398:655-678. doi:ttps://doi.org/10.1007/s00220-022-04538-z
LibreCat | DOI | arXiv
 
[27]
2023 | Preprint | LibreCat-ID: 51206
Schütte P, Weich T. Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions. arXiv:230813463. Published online 2023.
LibreCat | arXiv
 
[26]
2023 | Journal Article | LibreCat-ID: 31190
Hilgert J, Weich T, Wolf LL. Higher rank quantum-classical correspondence. Analysis & PDE. 2023;16(10):2241–2265.
LibreCat | arXiv
 
[25]
2023 | Journal Article | LibreCat-ID: 53410
Delarue B, Schütte P, Weich T. Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models. Annales Henri Poincaré. 2023;25(2):1607-1656. doi:10.1007/s00023-023-01379-x
LibreCat | DOI
 
[24]
2022 | Journal Article | LibreCat-ID: 31193
Kolb M, Weich T, Wolf LL. Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature. Annales Henri Poincaré. 2022;23(4):1283-1296. doi:10.1007/s00023-021-01121-5
LibreCat | DOI | arXiv
 
[23]
2022 | Journal Article | LibreCat-ID: 35306
Guedes Bonthonneau Y, Weich T. Ruelle–Pollicott resonances for manifolds with hyperbolic cusps. Journal of the European Mathematical Society. 2022;24(3):851-923. doi:10.4171/jems/1103
LibreCat | DOI
 
[22]
2022 | Journal Article | LibreCat-ID: 31057
Barkhofen S, Schütte P, Weich T. Semiclassical formulae For Wigner distributions. Journal of Physics A: Mathematical and Theoretical. 2022;55(24). doi:10.1088/1751-8121/ac6d2b
LibreCat | DOI | arXiv
 
[21]
2022 | Journal Article | LibreCat-ID: 35322
Bux K-U, Hilgert J, Weich T. Poisson transforms for trees of bounded degree. Journal of Spectral Theory. 2022;12(2):659-681. doi:10.4171/jst/414
LibreCat | DOI
 
[20]
2021 | Preprint | LibreCat-ID: 31058
Schütte P, Weich T, Delarue B. Resonances and weighted zeta functions for obstacle scattering via smooth models. Published online 2021.
LibreCat | arXiv
 
[19]
2021 | Journal Article | LibreCat-ID: 31263
Guillarmou C, Hilgert J, Weich T. High frequency limits for invariant Ruelle densities. Annales Henri Lebesgue. 2021;4:81-119. doi:10.5802/ahl.67
LibreCat | DOI | arXiv
 
[18]
2020 | Journal Article | LibreCat-ID: 31264
Küster B, Weich T. Pollicott-Ruelle Resonant States and Betti Numbers. Communications in Mathematical Physics. 2020;378(2):917-941. doi:10.1007/s00220-020-03793-2
LibreCat | DOI
 
[17]
2020 | Journal Article | LibreCat-ID: 53415
Küster B, Weich T. Pollicott-Ruelle Resonant States and Betti Numbers. Communications in Mathematical Physics. 2020;378(2):917-941. doi:10.1007/s00220-020-03793-2
LibreCat | DOI
 
[16]
2019 | Journal Article | LibreCat-ID: 31265
Dyatlov S, Borthwick D, Weich T. Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich. Journal of the European Mathematical Society. 2019;21(6):1595-1639. doi:10.4171/jems/867
LibreCat | DOI | arXiv
 
[15]
2019 | Preprint | LibreCat-ID: 31191
Kolb M, Weich T, Wolf LL. Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces. arXiv:190906183. Published online 2019.
LibreCat | arXiv
 
[14]
2019 | Journal Article | LibreCat-ID: 53416
Küster B, Weich T. Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. International Mathematics Research Notices. 2019;2021(11):8225-8296. doi:10.1093/imrn/rnz068
LibreCat | DOI
 
[13]
2017 | Journal Article | LibreCat-ID: 31268
Faure F, Weich T. Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps. Communications in Mathematical Physics. 2017;356(3):755-822. doi:10.1007/s00220-017-3000-0
LibreCat | DOI | arXiv
 
[12]
2017 | Journal Article | LibreCat-ID: 31272
Harris B, Weich T. Wave front sets of reductive Lie group representations III. Advances in Mathematics. 2017;313:176-236. doi:10.1016/j.aim.2017.03.025
LibreCat | DOI | arXiv
 
[11]
2017 | Journal Article | LibreCat-ID: 31267
Guillarmou C, Hilgert J, Weich T. Classical and quantum resonances for hyperbolic surfaces. Mathematische Annalen. 2017;370(3-4):1231-1275. doi:10.1007/s00208-017-1576-5
LibreCat | DOI | arXiv
 
[10]
2017 | Journal Article | LibreCat-ID: 31377 | OA
Weich T, Hoffmann M. Exkursinhalte in der fachmathematischen Lehramtsausbildung: Wie man das Wesen und die Rolle der Mathematik vermittelt. die hochschullehre. 2017;3.
LibreCat | Download (ext.)
 
[9]
2016 | Journal Article | LibreCat-ID: 31274
Borthwick D, Weich T. Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions. Journal of Spectral Theory. 2016;6(2):267-329. doi:10.4171/jst/125
LibreCat | DOI | arXiv
 
[8]
2016 | Journal Article | LibreCat-ID: 31289
Weich T. On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows. Annales Henri Poincaré. 2016;18(1):37-52. doi:10.1007/s00023-016-0514-5
LibreCat | DOI | arXiv
 
[7]
2015 | Journal Article | LibreCat-ID: 31291
ARNOLDI JF, FAURE F, Weich T. Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps. Ergodic Theory and Dynamical Systems. 2015;37(1):1-58. doi:10.1017/etds.2015.34
LibreCat | DOI | arXiv
 
[6]
2015 | Journal Article | LibreCat-ID: 31293
Weich T. Resonance Chains and Geometric Limits on Schottky Surfaces. Communications in Mathematical Physics. 2015;337(2):727-765. doi:10.1007/s00220-015-2359-z
LibreCat | DOI | arXiv
 
[5]
2014 | Journal Article | LibreCat-ID: 31294
Weich T. Equivariant spectral asymptotics forh-pseudodifferential operators. Journal of Mathematical Physics. 2014;55(10). doi:10.1063/1.4896698
LibreCat | DOI | arXiv
 
[4]
2014 | Journal Article | LibreCat-ID: 31296
Barkhofen S, Faure F, Weich T. Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum. Nonlinearity. 2014;27(8):1829-1858. doi:10.1088/0951-7715/27/8/1829
LibreCat | DOI | arXiv
 
[3]
2014 | Journal Article | LibreCat-ID: 31297
Weich T, Barkhofen S, Kuhl U, Poli C, Schomerus H. Formation and interaction of resonance chains in the open three-disk system. New Journal of Physics. 2014;16(3). doi:10.1088/1367-2630/16/3/033029
LibreCat | DOI | arXiv
 
[2]
2013 | Journal Article | LibreCat-ID: 31298
Barkhofen S, Weich T, Potzuweit A, Stöckmann H-J, Kuhl U, Zworski M. Experimental Observation of the Spectral Gap in Microwave n-Disk Systems. Physical Review Letters. 2013;110(16). doi:10.1103/physrevlett.110.164102
LibreCat | DOI | arXiv
 
[1]
2012 | Journal Article | LibreCat-ID: 31300
Potzuweit A, Weich T, Barkhofen S, Kuhl U, Stöckmann H-J, Zworski M. Weyl asymptotics: From closed to open systems. Physical Review E. 2012;86(6). doi:10.1103/physreve.86.066205
LibreCat | DOI | arXiv
 
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Citation Style: AMA

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